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Finding the Fourth Proportional to 218,779.70, 327,971.55 and 152,251.70

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Solution

The fourth proportional to 218,779.70, 327,971.55 and 152,251.70 is: 228,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,779.70 : 327,971.55 = 152,251.70 : x
  2. Step 2: Convert to fraction form
    218,779.70/327,971.55 = 152,251.70/x
  3. Step 3: Cross multiply
    218,779.70x = 327,971.55 × 152,251.70
  4. Step 4: Simplify right side
    218,779.70x = 49,934,226,039.14
  5. Step 5: Solve for x
    x = 49,934,226,039.14/218,779.70
  6. Step 6: Final answer
    x = 228,239.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.